Course description

Time table

• James Jackaman
  Office 1306, SBII
  james [dot] jackaman [at] ntnu [dot] no

NB Please use TMA4220 in the subject heading in your emails.

• https://www.ntnu.no/ansatte/alessandro.contri
  Office 1144 SBII
  alessandro [dot] contri [at] ntnu [dot] no

NB Please use TMA4220 in the subject heading in your emails.

• Kristin Fullu, kristin [dot] fullu [at] ntnu [dot] no
• Eva Weiss, eva [dot] weiss [at] ntnu [dot] no

This course will primarily follow material from the two books below, which are both available for free to NTNU students via SpringerLink.

• S. Brenner and L. R. Scott The Mathematical Theory of Finite Element Methods, Springer 2008.
• A. Quarteroni, Numerical Models for Differential Problems, Third Edition, Springer 2017.

Topics from the following books will also likely be covered.

• M. Ainsworth and T. J. Oden A Posteriori Error Estimation in Finite Element Analysis, First Edition, Wiley 2000.
• V. Thomée Galerkin Finite Element Methods for Parabolic Problems, Second Edition, Springer 2006.

The literature for temporal finite elements is not well developed, for additional reading one may read:

• These notes (extracted from my PhD thesis)
• This book on classical geometric temporal integration: E. Hairer, G. Wanner and C. Lubich, Geometric Numerical Integration, Second Edition, Springer 2006.
• These papers: https://doi.org/10.1002/cnm.458, http://www.numdam.org/item/M2AN_1994__28_7_815_0.pdf, https://doi.org/10.1090/S0025-5718-01-01364-3

At points, we shall deviate from the textbooks. With this in mind, enrolled students may find some class notes here. The password for this link is given in the lectures. Attendance of lectures is recommended for success in this course.

• Permitted examination support material: A4 paper, approved by the department (yellow sheet, "gul ark") with own handwritten notes. You can also bring approved calculators, although they are unlikely to be useful.
• All answers should be justified and include enough details to make it clear which methods and/or results have been used.
• Before answering make read the questions carefully. If a question is unclear/vague, make your own assumptions and specify them in your answer. Only contact the academic contact in case of errors or insufficiencies in the question set. Address an invigilator if you wish to contact the academic contact, and write down the question in advance.
• The number of points within a question are clearly stated under the question number and the number of points within a part of a question is given to the left of the sub-question.

• Final exam counts for 65%
• One compulsory project counts for 35%